Atkin-Lehner |
3+ 5- 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
26535c |
Isogeny class |
Conductor |
26535 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
248765625 = 32 · 56 · 29 · 61 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-290,1622] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:46:1] [-9:64:1] |
Generators of the group modulo torsion |
j |
2697809628961/248765625 |
j-invariant |
L |
4.1493473401431 |
L(r)(E,1)/r! |
Ω |
1.7073607092498 |
Real period |
R |
0.81008996666884 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79605c1 |
Quadratic twists by: -3 |